242785272 has 64 divisors (see below), whose sum is σ = 624879360. Its totient is φ = 78560000.

The previous prime is 242785243. The next prime is 242785321. The reversal of 242785272 is 272587242.

It is a happy number.

It is a super-2 number, since 2×242785272² = 117889376600227968, which contains 22 as substring.

Its product of digits (125440) is a multiple of the sum of its prime divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 242785272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246493 + ... + 247475.

It is an arithmetic number, because the mean of its divisors is an integer number (9763740).

Almost surely, 2^242785272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242785272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312439680).

242785272 is an abundant number, since it is smaller than the sum of its proper divisors (382094088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242785272 is a wasteful number, since it uses less digits than its factorization.

242785272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 242785272 is about 15581.5683421150. The cubic root of 242785272 is about 623.8412852424.

The spelling of 242785272 in words is "two hundred forty-two million, seven hundred eighty-five thousand, two hundred seventy-two".